Abstract
This paper presents a numerical study of the solitary wave interaction with a submerged breakwater using the Consistent Particle Method (CPM). The distinct feature of CPM is that it computes the spatial derivatives by using the Taylor series expansion directly and without the use of the kernel or weighting functions. This achieves good numerical consistency and hence better accuracy. Validated by published experiment data, the CPM model is shown to be able to predict the wave elevations, profiles and velocities when a solitary wave interacts with a submerged breakwater. Using the validated model, the detailed physics of the wave breaking process, the vortex generation and evolution and the water particle trajectories are investigated. The influence of the breakwater dimension on the wave characteristics is parametrically studied.
Highlights
Tsunamis possess tremendous destructive power and are among the most horrible natural hazards in coastal regions
The present study aims to investigate the detailed physics of the tsunami wave-submerged breakwater interaction
The distinct feature of Consistent Particle Method (CPM) is that it computes the gradient and Laplacian the governing in a way consistent
Summary
Tsunamis possess tremendous destructive power and are among the most horrible natural hazards in coastal regions. Different from the kernel approximation schemes in SPH and the weighted-average particle interaction models in MPS, the CPM computes the first- and second-order derivatives simultaneously based on the Taylor series expansion [30] In this way, the numerical consistency that is a key issue in the derivative approximation of particle methods can be achieved and the numerical accuracy is improved. The performance of CPM in alleviating spurious pressure fluctuation has been well demonstrated by the cases of violent free surface flow [30,31] and fluid-structure interaction [32] Another issue that has restricted the application of particle methods in large-scale problems is the relatively low computational efficiency. It is expected that the research findings can provide some guidance for the engineering design
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